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Ministerul Educatiei al Republicii MoldovaUniversitatea Tehnica a Moldovei

Facultatea Cadastru Geodezie şi ConstrucţiiCatedra Evaluarea i Managementul Imobiluluiș

 Lucrare de laborator 

 La Statistica ramurii 

 A efectuat: studenta gr. EI-1211 Gribiuniuc Nicoleta

 

 A verificat: lec. superior urcan inaȚ 

!"i#in$u 2%1&

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m selectat apartamentele !n num"r de ##$ de pe saiturile de anun uri% &&&'lara'md iț ș&&&'ni(aimobil'md )data%#$'#$'*$#+,' poi le-am repartizat con.orm urm"toarelor criterii%sursa/pre ul apartamentului/ supra.a a/ pre ul pentru # mț ț ț   * / num"rul de odai i amplasarea' )Tabelulșnr'#,'

Tabelul nr'# 0electarea colectivit" iiț

Nr. de ordine Sursa Pre ulțapartamentului,

Suprafa ațtotală, m

Pre ul pentruț1 m

Nr.de odăi Amplasarea

# &&&'ni(aimobil'md #12$$ *$ 34$/$$ # 5otanica* &&&'ni(aimobil'md +*$$$ +6 222/24 # Centru+ &&&'ni(aimobil'md *3$$$ +2/1 3$#/+$ # Centru7 &&&'ni(aimobil'md 14$$$ 4* 67#/+$ * Centru1 &&&'ni(aimobil'md 11$$$ 3$/4 331/37 * Centru6 &&&'ni(aimobil'md 71$$$ 17 2++/++ * 5uiucani3 &&&'ni(aimobil'md 7$$$$ 1$/6 34$/1# * 5otanica2 &&&'ni(aimobil'md 71$$$ 17 2++/++ * Centru4 &&&'ni(aimobil'md #11$$$ #*#/6 #'*37/63 + Centru

#$ &&&'ni(aimobil'md 41$$$ ### 211/26 + R! caniș## &&&'ni(aimobil'md 62$$$ 3# 413/31 + 5otanica#* &&&'ni(aimobil'md 76$$$ 3* 6+2/24 + 5uiucani#+ &&&'ni(aimobil'md 171$$ 64 324/26 + 5otanica#7 &&&'ni(aimobil'md 64$$$ 4*/2 37+/1+ + Centru#1 &&&'ni(aimobil'md 26$$$ #*7/+ 64#/23 + Riscani#6 &&&'ni(aimobil'md ##1$$$ ##$ #'$71/71 + Centru#3 &&&'ni(aimobil'md #+1$$$ 47 #'7+6/#3 + Centru#2 &&&'ni(aimobil'md +13$$ +1/# #'$#3/$4 # Centru#4 &&&'ni(aimobil'md 17$$$ 66/3 2$4/6$ + Centru*$ &&&'ni(aimobil'md #*2$$$ **7 13#/7+ 7 Riscani*# &&&'lara'md #$+$$ #1 626/63 # 5uiucani

** &&&'lara'md 7*1$$ 17 323/$7 * 5uiucani*+ &&&'lara'md 77$$$ 3$ 6*2/13 + Riscani*7 &&&'lara'md #*1$$ #* #'$7#/63 # Riscani*1 &&&'lara'md *$4$$ +3 167/26 # 5otanica*6 &&&'lara'md 737$$ 3$ 633/#7 * 5otanica*3 &&&'lara'md *4+$$ +4 31#/*2 # Centru*2 &&&'lara'md 14$$$ 32 316/7# + Riscani*4 &&&'lara'md +331$ 11 626/+6 * Centru+$ &&&'lara'md #11$$ *+ 63+/4# # 5otanica+# &&&'lara'md ##1$$ #3 636/73 # Ciocana+* &&&'lara'md #+1$$ *7 16*/1$ # Ciocana

++ &&&'lara'md *+1$$ +1 63#/7+ # Centru+7 &&&'lara'md #*1$$ ** 162/#2 # Ciocana+1 &&&'lara'md *$4$$ +3 167/26 # 5otanica+6 &&&'lara'md 737$$ 3$ 633/#7 * 5otanica+3 &&&'lara'md *4+$$ +4 31#/*2 # Centru+2 &&&'lara'md 14$$$ 32 316/7# + Riscani+4 &&&'lara'md *21$$ ++ 26+/67 # Centru7$ &&&'lara'md 7+$$$ 3* 143/** * Ciocana7# &&&'lara'md 3*1$$ 4+ 334/13 * Riscani7* &&&'lara'md +21$$ 63 137/6+ + 5uiucani7+ &&&'lara'md +31$$ 72 32#/*1 * 5otanica

77 &&&'lara'md *2$$$ +# 4$+/*+ # Telecentru71 &&&'lara'md +3$$$ 7$ 4*1/$$ # 5uiucani76 &&&'lara'md 6$$$$ 21 3$1/22 7 Riscani73 &&&'lara'md 7*4$$ 1$ 212/$$ * botanica

*

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72 &&&'lara'md 771$$ 3$ 6+1/3# + 5uiucani74 &&&'lara'md 32$$$ 62 #'#73/$6 * 5otanica1$ &&&'lara'md #11$$ *$ 331/$$ # Centru1# &&&'lara'md +1$$$ +2 4*#/$1 # 5otanica1* &&&'lara'md +24$$ 16 647/67 * 5otanica

1+ &&&'lara'md +71$$ 74 3$7/$2 * Riscani17 &&&'lara'md *1$$$ +2 613/24 # 5uiucani11 &&&'lara'md *21$$ 71 6++/++ * Centru16 &&&'lara'md 6+$$$ 4$ 3$$/$$ + Centru13 &&&'lara'md 7$2$$ 14 64#/1+ + 5otanica12 &&&'lara'md 1#$$$ 3* 3$2/++ + Centru14 &&&'lara'md 71$$$ 66 62#/2* + Ciocana6$ &&&'lara'md 7+26$ 61 637/33 + Riscani6# &&&'lara'md *11$$ +3 624/#4 * 5otanica6* &&&'lara'md 144$$ 3# 27+/66 + 5otanica6+ &&&'lara'md 1*1$$ 62 33*/$6 # Ciocana67 &&&'lara'md 43$$$ #*7 32*/*6 7 Centru61 &&&'lara'md 6#*$$ #*$ 1#$/$$ + Ciocana66 &&&'lara'md *44$$ 7# 3*4/*3 # Centru63 &&&'lara'md 1+$$$ 3$ 313/#7 + Riscani62 &&&'lara'md *+1$$ 6+ +3+/$* + Telecentru64 &&&'lara'md 714$$ 3# 676/72 + 5otanica3$ &&&'lara'md 7*4$$ 3# 6$7/*+ + Riscani3# &&&'lara'md 11$$$ 3# 337/61 + Riscani3* &&&'lara'md 7$$$$ 6$ 666/63 + 5otanica3+ &&&'lara'md 7#1$$ 3$ 14*/26 + 5uiucani37 &&&'lara'md 11$$$ 33 3#7/*4 * Centru31 &&&'lara'md 1*$$$ 2* 6+7/#1 7 5otanica

36 &&&'lara'md *2$$$ +1 2$$/$$ # 5otanica33 &&&'lara'md 1*$$$ 12 246/11 + Centru32 &&&'lara'md +$4$$ 71 626/63 * 5otanica34 &&&'lara'md *31$$ ++ 2++/++ # 5otanica2$ &&&'lara'md *+$$$ *3 21#/21 # Riscani2# &&&'lara'md +7$$$ 7+ 34$/3$ # 5otanica2* &&&'lara'md 1+$$$ 3# 376/72 + 5otanica2+ &&&'lara'md *74$$ +# 2$+/*+ # 5otanica27 &&&'lara'md 74$$$ 66 37*/7* * Telecentru21 &&&'lara'md 761$$ 3* 671/2+ * Ciocana26 &&&'lara'md 4$$$$ 2+ #'$27/+7 + Centru

23 &&&'lara'md +64$$ 71 2*$/$$ * 5otanica22 &&&'lara'md 43$$$ 61 #'74*/+# * Centru24 &&&'lara'md 41$$$ 3$ #'+13/#7 + Centru4$ &&&'lara'md +2$$$ 14 677/$3 + 5otanica4# &&&'lara'md 11$$$ 3$ 321/3# + 5otanica4* &&&'lara'md 62+1$ 33 223/66 + Centru4+ &&&'lara'md 71$$$ 3# 6++/2$ + 5otanica47 &&&'lara'md #*$$$$ ##* #'$3#/7+ + 5otanica41 &&&'lara'md 1*$$$ 3# 3+*/+4 + 5otanica46 &&&'lara'md 6#1$$ 6$ #'$*1/$$ * Centru43 &&&'lara'md ++$$$ +6 4#6/63 * Centru42 &&&'lara'md *4$$$ 1$ 12$/$$ * Centru44 &&&'lara'md +4$$$ 1* 31$/$$ * Centru

#$$ &&&'lara'md 41$$$ #++ 3#7/*4 + ciocana#$# &&&'lara'md *41$$ +4 316/7# # R! caniș

+

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#$* &&&'lara'md #3$$$$ #*$ #'7#6/63 + Centru#$+ &&&'lara'md *21$$ 73 6$6/+2 * 5otanica#$7 &&&'lara'md 7#$$$ 77/+ 4*1/1# * Centru#$1 &&&'lara'md 1#$$$ 61 327/6* + 5uiucani#$6 &&&'lara'md +1$$$ +$ #'#66/63 # Centru

#$3 &&&'lara'md 71$$$ 3#/7 6+$/*1 + R! caniș#$2 &&&'lara'md *44$$ 77 634/11 # R! caniș#$4 &&&'lara'md ##4$$ +1 +7$/$$ # R! caniș##$ &&&'lara'md #1$$$$ #1+ 42$/+4 + Centru

*' 8n tabelul al doilea am grupat unit" ile de mai sus !n 6 grupe !n .unc ie de pre ul pentru # mț ț ț   * '

Tabelul nr'* Gruparea unit" ilor imobiliareț

Pre ul 1 mț   * , euro Apartamente (nr.de ordine)Nr.aparta

menteStructura, %

Suprafa aț

340-3!,1" ", "#,10$ 3 3 !1#

3!,1"-!4,3! 3,4,1!,1,!0,!1,!3,!,!",!$,30,31,3!,33,34,3,3",40,4!,4",4#,!,3,4,,",,#,,"0,"1,"$,0,!,3,4,,#,#,$0,$3,$#,100,103,10,10#.

4" 4! !$!0,!

!4,3!-$1",4#1,!,,",,#,10,13,14,1$,!!,!,!#,3,3#,3$,41,43,44,4,0,"!,"3,"4,"",",1,",,$,#0,#1,#!,#3,#4,#,$1,$!,$,$$

,101,104! 3# !41"

$1",4#-110#,"4 11,1#,4,1,$,104,110 " 41,4

110#,"4-1300,#0 1",!4,#",$4,$" 3

1300,#0-14$3 $,1,4$,#$,10!,10" " "#,"

&otal '''''''' 110 100 "$1,!

a' 9up" care am determinat m"rimea intervalului pentru grupare utiliz!nd .ormula% i:n

xx minma;  − <

unde x ma;   iș  x min  -valori ma;ime i minime a caracteristicii

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 p  * :   =7*=#$$##$

76=×

 p  + :   =+2=#$$##$

7*=×

 p  7 :  =6=#$$

##$

3=×

 p  1 :   =1=#$$##$

1=×

 p  6 :   =6=#$$##$

3=×

e'm reprezentat prin gra.ic structura colectivit" iiț

Fig'# Reprezentarea gra.ic" a structurii colectivit" iiț

Concluzie% Cea mai mare grupa de apartamente cu pre ul mediu pentru # mț   *  !ncep!nd de la1+*/#6-3*7/+*/ c"rora le revine 7*= !n structura colectivit" ii/ iar cea mai mic" grup" dețapartamente cu pre ul mediu pentru # mț   *  !ncep!nd de la ##$2/67-#+$$/2$ c"rora le revine 1= dinstructura colectivit" ii'ț

.' m reprezentat distribu ia unit" ilor ob inute !n .unc ie de volumul v!nz"rilor'ț ț ț ț

1

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Fig'* >istograma de reparti ieț

+' 8n tabelul nr'+ voi calcula pre ul mediu/ modulul si mediana'ț

Pre ul 1 mț   * , euro Suprafa aț

i

i

*ii

  m× S

3!,1"-!4,3! !$!0,! "!#,!4 1#34#",4 313#,!0

!4,3!-$1",4# !41" #!0,4 1$#!0#",40 4,!0

$1",4#-110#,"4 41,4 101!," 4!!"4!,4 $1,"0

110#,"4-1300,#0 3 1!04,! 441$,44 "34#,"0

1300,#0-14$3 "#," 13$",$ $4!,34

&otal "$1,! #!#3,"1

a' Calculez pre ul mediu a unui mț   *  pe aceast" colectivitate'?entru aceasta .olosim .ormula

 pentru media aritmetic" ponderat"'Media aritmetic" reprezint" o valoare generalizatoare care re.lect" m"rimea caracteristicii ce revineunei unit" i din colectivitate'ț

ax :∑

∑   ×

i

ii

m

mx

< unde% ;   i -valoarea caracteristicii< m   i -.recven a caracteristicii'ț

Frecven a mț   i -re.lect" de c"te ori se !nt!lne te caracteristica ;ș   i  !n colectivitate'

!nlocuim datele !n .ormul"% ax : */64#36#/112*2+3

:2$3/$4 =

Concluzie% 9up" e.ectuarea calculelor am observat c" pre ul mediu pentru # mț   *  constitue 2$3/$4='

 b'Calculez modulul

Modulul- reprezint" valoarea caracteristicii cel mai des !nt!lnit" !n colectivitate'?entru o serie de varia ie cu intervale/ modulul se calculeaz" dup" .ormula%ț

M  $ :;,),) ##

#)min,

+−

−

−+−

−×+

momomomo

momo

momo

mmmm

mmi <

unde% ;   )min,mo -limita intervalului modal  i mo -m"rimea intervalului modal  m mo -.recven a intevalului modalț

  m   #$−m - .recven a anterioar" a intervalului modalț

  m   #+mo  - .recven a ulterioar" a intervalului modalț8n calitate de interval modal se alege intervalul cu cea mai !nalt" .recven "'ț8nlocuiesc datele !n .ormul" i calculez modulul%șM  $ :1+*/#6@ #4*/#6

13/64+7*/#6##6/1+*27/$#3/#4*#6/1+*,*7#6*$/*4*$),*#2*$/*4*$)

*#2*$/*4*$=+=×+=

−+−

−×  A

Concluzie% 8n aceast" colectivitate cel mai des se !nt!lnesc apartamente cu pre ul mediu a # mț   *

:64+/13 A

c' Calculez mediana'

6

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Mediana reprezint" valoarea caracteristicii situate la miBlocul seriei aranBate !n ordin de rang)!n cre tere sau descre tere,'?entru a calcula mediana !n cazul seriei de varia ie de interval seș ș țutilizeaz" urm"toarea .ormul"%

Mme :;   ( )minme @i meme

me

i

m

Sm

∑   −−×

#* <

unde% ;   )min,me -limita in.erioar" a intervalului median<  i me -m"rimea intervalului median

  ∑ mi -suma .recven elor ț  0   #−me - .recven a cumulat" anterioar" a intervalului dat'Frecven a cumulat" se calculeaz"ț ț

 prin adunarea consecutiv" a .recven elor !ncep!nd cu primul interval i p!n" la acel interval pentruț șcare ea se calculeaz"'  m me -.recven a intervalului medianț

8nlocuim datele !n .ormul" i calcul"m mediana% Mș   me :3*7/+*@#4*/#6 *7#6

*/+#+2

*

*$/64#3−

× :,#+/$#6/#4*)+*/3*7   ×+ : 3*7/+*@*7/42:374/+$A

Concluzie% 9ac" aranB"m toate unit" ile imobiliare !m ordine de rang a pre urilor la miBloc se va a.laț țunitatea cu pre ul # mț   *  !n valoare de 374/+$A

7' 8n tabelul 7 voi reprezenta calculele indicilor varia iei'țaria ia- reprezint" schimbarea valorii unui indicator'ț

Pre ul 1 m, euroț

m i

Suprafa aț

m i i i  ×mi +   ai

  xx  − + +   ai

  xx  − +×  m

i

(   ai   x− )

*

(   ai   x− ) * ×

mi

3!,1"-!4,3! !$!0,! "!#,!4 1#34#",4 1#,# !!!, 31$#,3! $340$3$,1"

!4,3!-$1",4# !41" #!0,4 1$#!0#",40 13,31 3!1",$" 1,1" 4!#00$,14

$1",4#-110#,"4 41,4 101!," 4!!"4!,4 !0,4 #"3,1# 4!!1,$! 1"!1"0,1#

110#,"4-1300,#0 3 1!04,! 441$,44 3$,"3 14$$0",1 1#10$,"! $"03!,

1300,#0-14$3 "#," 13$",$ $4!,34 #$,#1 333",$ 34#,#4 1$#0!!00,41

&otal "$1,! #!#3,"1 1!0"30," 3$##"030,0

a' mplitudinea varia iei- reprezint" di.eren a dintre valoarea ma;im" i minim" a caracteristicii'ț ț șR:;   minma;   x− < R:#74+-1+*/#6:46$/27AConcluzie% 9i.eren a dintre valoarea ma;im" i minim" a pre ului #ț ș ț   *m  constitue 46$/27 A

 b' baterea medie liniar"- reprezint" di.eren a medie dintre toate valorile caracteristicii i valoareaț șmedie a caracteristicii pe colectivitate'?entru calcule am .olosit .ormula pentru abaterea medie liniar" ponderat"%

D:∑

∑   ×−

i

iai

m

mxx   EE'

?entru a calcula abaterea medie liniar" este necesar s" calculez media aritmetic" ponderat"%

ax :∑

∑   ×

i

ii

m

mx

' ax : */64#36#/112*2+3

:2$3/$4A

D:   7$/#37*$/64#316/#*$6+1$ =  A

3

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Concluzie% Toate valorile caracteristicii se abat de la valoarea medie pe colectivitate !n mediu cu#37/7$ A

c'9ispersia-arat" patratul mediu a abaterii tutror valorilor caracteristicii de la valoarea medie pecolectivitate'

 * :∑

∑   ×−

i

iai

m

mxx   *,)<

 * :   +2/13667*$/64#3

$1/+42236$+$=  A

Concluzie% ?atratul mediu a di.eren elor tuturor valorilor caracteristicii de la valoarea medie pețcolectivitate constitue 13667/+2 A

d' baterea medie p"tratic"- reprezint" radical din dispersie'Formula ce o voi utilizarea !n calcul este acea pentru abaterea medie p"tratic" ponderat"'

: ∑∑   −

i

ai

m

xx  *

,)

'

:*$/64#3

$1/+42236$+$:   +2/13667 :*7$/#+A

Concluzie% Toate valorile caracteristicii se abat de la valoarea medie pe colectivitate !n mediu cu*7$/#+ A

1' 8n tabelul nr'1 voi reprezenta calculele pentru regula adun"rii dispersieiTabelul nr'1 Regula adun"rii dispersiei

SectorulNr.de ordine aapartementelor  Suprafa aț Pre ul 1 mț   * ii   m×   xi − (   xi − )  *

entru 1 +6 222/24 3!000,04 -#4,11 04,4$  ! +2/1 3$#/+ !000,0 -!1,0 3#!0,#$  3 4* 67#/+ #$$$,"0 -331,0 1100!4,#$  4 3$/4 331/37 4$$$,$ -1$,!" 3#$11,1  17 2++/++ 44$$$,#! -13$," 1$0,1  " #*#/6 #'*37/63 14$$$,# 301," $1004,$  4*/2 37+/1+ "#$$$,# -!!$,4 !"",4#  # ##$ #'$71/71 114$$$,0 !,4 !4$,00  $ 47 #'7+6/#3 134$$$,$# 4"3,1 !14!",4  10 +1/# #'$#3/$4 3"$$,#" 44,0$ 1$43,$3  11 66/3 2$4/6 4000,3! -1"3,40 !""$$,"  1! +4 31#/*2 !$!$$,$! -!!1,! 4$1$,"  13 11 626/+6 34$,#0 -!#","4 #!1"!,4$  14 +1 63#/7+ !300,0 -301, $0$44,4"  1 +4 31#/*2 !$!$$,$! -!!1,! 4$1$,"  1" ++ 26+/67 !#00,1! -10$,3" 11$$,"1  1 *$ 331 100,00 -1$#,00 3$!04,00  1# 71 6++/++ !#4$$,# -33$," 113,1  1$ 4$ 3$$ "3000,00 -!3,00 4!$,00  !0 3* 3$2/++ 0$$$," -!"4," 000,!1

2

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  !1 #*7 32*/*6 $000,!4 -1$0,4 3"3#1,  !! 7# 3*4/*3 !$$00,0 -!43,3 $404,31  !3 33 3#7/*4 000,33 -!#,1 ""$30,#"  !4 12 246/11 1$$$,$0 -",4 #44,"0  ! 2+ #'$27/+7 $0000,!! 111,34 1!3$","0  !" 61 #'74*/+# $000,1 1$,31 !"$"#!,##  ! 3$ #'+13/#7 $4$$$,#0 3#4,14 14"3,4  !# 33 223/66 "#34$,#! -#,34 !#!,$!  !$ 6$ #'$*1/$$ "100,00 !,00 !04,00  30 +6 4#6/63 33000,1! -",33 313,0  31 1$ 12$ !$000,00 -3$3,00 1444$,00  3! 1* 31$ 3$000,00 -!!3,00 4$!$,00  33 #*$ #'7#6/63 10000,40 443," 1$"#43,0  34 77/+ 4*1/1# 41000,0$ -4,4$ !!,30  3 +$ #'#66/63 3000,10 1$3," 30#,0  3" #1+ 42$/+4 14$$$$," ,3$ 4,"1aloareamedie 3" !3$,$ 3!41!,4 !!30$#,$! !!"1"#,!

otanica 1 *$ 34$ 1#00,00 !1,00 441,00  ! 1$/6 34$/1# 3$$$$,#1 !1,1 4"!,"#  3 3# 413/31 "#000,! 1##, 3"!","  4 64 324/26 400,34 !0,#" 43,14  +3 167/26 !0#$$,#! -!04,14 41"3,14  " 3$ 633/#7 43$$,#0 -$1,#" #43#,!"  *+ 63+/4# 14$$,$3 -$,0$ $04!,11

  # +3 167/26 !0#$$,#! -!04,14 41"3,14  $ 3$ 633/#7 43$$,#0 -$1,#" #43#,!"  10 72 32#/*1 300,00 1!,! 10,0"  11 1$ 212 4!$00,00 #$,00 $!1,00  1! 62 #'#73/$6 #000,0# 3#,0" 14!$!$,3"  13 +2 4*#/$1 34$$$,$0 1!,0 !311$,!0  14 16 647/67 3##$$,#4 -4,3" !$,41  1 14 64#/1+ 40#00,! -,4 "001,"0  1" +3 624/#4 !00,03 -$,#1 "3"$,"4  1 3# 27+/66 $#$$,#" 4,"" 4,1!  1# 3# 676/72 4$00,0# -1!!,! 1011,1  1$ 6$ 666/63 40000,!0 -10!,33 1041,43  !0 2* 6+7/#1 !000,30 -134,# 1#1#4,!  !1 +1 2$$ !#000,00 31,00 $"1,00  !! 71 626/63 30$00,1 -#!,33 "#,!3  !3 ++ 2++/++ !4$$,#$ "4,33 413#,3  !4 7+ 34$/3 34000,10 !1,0 40,#$  ! 3# 376/72 3000,0# -!!,! 0,1  !" +# 2$+/*+ !4$00,13 34,!3 111,"$  ! 71 2*$ 3"$00,00 1,00 !"01,00  !# 14 677/$3 3#000,13 -1!4,$3 1"0,0  !$ 3$ 321/3# 4$$$,0 1",1 !$,!!  30 3# 6++/2 44$$$,#0 -13,!0 1#!$,04

4

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  31 ##* #'$3#/7+ 1!0000,1" 30!,43 $14"3,$0  3! 3# 3+*/+4 1$$$,"$ -3","1 1340,!$  33 73 6$6/+2 !#4$$,#" -1"!,"! !"44,!"aloareamedie 33 1#!0," !013,$ 14004$$,#! 1131+1/+*

uiucani 1 17 2++/++ 44$$$,#! 133,33 #3336/24  ! 3* 6+2/24 4"000,0# -"1,11 +3+7/7+

  3 #1 626/63 10300,0 -13,33 #33/64

  4 17 323/$7 4!00,1" #,04 3131/46

  63 137/6+ 3#00,!1 -1!,3 #13#3/67

  " 7$ 4*1 3000,00 !!,00 1$6*1/$$

  3$ 6+1/3# 444$$,0 -"4,!$ 7#++/*$

  # +2 613/24 !4$$$,#! -4!,11 #33+/*1

  $ 3$ 14*/26 4100,!0 -10,14 ##732/42

  10 61 327/6* 1000,30 #4,"! 3#6$/17

aloareamedie 10 4 11","4 3#1300,34 #*$#1+/14

iocana 1 #3 636/73 114$$,$$ 3,4 #*12/#*

  ! *7 16*/1 1300,00 -#,0 6#6*/*1

  3 ** 162/#2 1!4$$,$" -!,#! 1+$*/31

  4 3* 143/** 4!$$$,#4 -43,# #4#6/64

  66 62#/2* 4000,1! 40,#! #666/*3

  " 62 33*/$6 !00,0# 131,0" #3#36/3*

  #*$ 1#$ "1!00,00 -131,00 #3#6#/$$

  # 3* 671/2+ 4"4$$," 4,#3 *+/++

  $ #++ 3#7/*4 $000, 3,!$ 1+3#/7*aloare medie $ 147 13*2/+3 3#000,3! 16$+2/16

/ caniș 1 ### 211/26 $000,4" 1"1,#" *6#42/66

  ! +4 316/7# !$4$$,$$ "!,41 +241/$#

  3 3#/7 6+$/*1 44$$$,# -"3, 7$67/$6

  4 77 634/11 !$$00,!0 -14,4 *$2/2$

  +1 +7$ 11$00,00 -34,00 #*1+#6/$$

  " #*7/+ 64#/23 #$$$,44 -!,13 7/17

  **7 13#/7+ 1!#000,3! -1!!, #1$*+/7$

  # 3$ 6*2/13 43$$$,$0 -",43 7*2#/$2

  $ #* #'$7#/63 1!00,04 34," #*$237/7+  10 32 316/7# #$$$,$# "!,41 +241/$#

  11 32 316/7# #$$$,$# "!,41 +241/$#

  1! 4+ 334/13 !00,01 #, 3+**/**

  13 21 3$1/22 $$$$,#0 11,## #7#/#+

  14 74 3$7/$2 344$$,$! 10,0# #$#/6#

  1 61 637/33 43#"0,0 -1$,!3 +64/34

  1" 3$ 313/#7 !$$$,#0 "3,14 +426/66

  1 3# 6$7/*+ 4!$00,33 -#$, 2$12/61

  1# 3# 337/61 000,1 #0," 61$7/7*

  1$ *3 21#/21 !!$$$,$ 1,# *74#6/6*aloareamedie 1$ #7#3/3 #+16$/6 $#4"0,1 +14$13/#*

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&elecentru 1 +# 4$+/*+ !#000,13 !,!3 1,  ! 6+ +3+/$* !300,!" -!4,$# "014,#0  3 66 37*/7* 4#$$$,! 114,4! 130$1,$4aloareamedie 3 1"0 !01#," 10000,11 13##,!$

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